by following the rule that the sum of two sides must exceed that of the last, a. is true and b. is false
Do not type in the link they will hack you
This is the concept of application of exponential growth, suppose in 1990 time,t=0 and in 1990 time,t=9. Using the exponential growth formula given by:
f(t)=ae^(kt)
thus substituting the value we get:
40=37e^(9k)
this can be written as:
(40/37)=e^(9k)
introducing the natural logs we get:
ln(40/37)=9k
hence;
k=1/9ln(40/37)=0.0087
Therefore our formual will be given by:
f(t)=37e^(0.0087t)
N/B: The population is in millions. Thus to get the population in 2016 we shall proceed as follows;
t=26
thus
f(t)=37e^(26*0.0087)
f(t)=46.35 million
Answer:
Step-by-step explanation:
Tangent to y-axis means that the side of the circle TOUCHES the y axis.
Since the center is at (-7,2) and it touches the y axis, we can figure out the radius. It goes from (-7,2) to y-axis. Horizontally, the center is 7 units left of y-axis, so that is the radius ----- 7 units
The standard form of a circle is:
Where
(h,k) is the center
r is the radius
Putting the information into the form, we have:
THis is the standard form.
N is the term that you are looking for. it asked for the 3rd term so you replace n with 3. now its : 3 x 3^2 + 4 . you use the order of PEMDAS:
P arenthesis
E xponents
M ultipication
D ivision
A ddition
S ubtraction
you start with parenthesis but there are none so now exponents. 3^2 is 3 x 3. that would be: 3 x 3 = 9.
now multiplication. 3 x 9 + 4. 3 x 9 = 27
now division. there is none. so now addition and there is. 27 + 4 = 31.
then subtraction but there is none. so now you are done.
the 3rd term is therefore 31.
i hope that i helped.